Limit Theorems for the Spacings of Weak Records
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Date
2012
Authors
Stepanov, Alexei
Journal Title
Journal ISSN
Volume Title
Publisher
Springer Heidelberg
Open Access Color
Green Open Access
Yes
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No
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Abstract
Let W(1), W(2), . . . be weak record values obtained from a sample of independent variables with common discrete distribution. In the present paper, we derive weak and strong limit theorems for the spacings W(n + m) - W(n), m a parts per thousand yen 1, n -> a.
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ORCID
Keywords
Weak records, Spacings of weak records, Convergence in distribution, Almost sure convergence, Discrete-Distributions, Regression, Linearity, spacings of weak records, Strong limit theorems, convergence in distribution, Statistics of extreme values; tail inference, Order statistics; empirical distribution functions, weak records, Central limit and other weak theorems, almost sure convergence
Fields of Science
0101 mathematics, 01 natural sciences
Citation
WoS Q
Q3
Scopus Q
Q3
OpenCitations Citation Count
6
Source
Metrıka
Volume
75
Issue
2
Start Page
163
End Page
180
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Citations
CrossRef : 5
Scopus : 8
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Mendeley Readers : 1
SCOPUS™ Citations
8
checked on Mar 15, 2026
Web of Science™ Citations
8
checked on Mar 15, 2026
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2
checked on Mar 15, 2026
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